Standard Form and Intercepts

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) where b is the value of y at that point.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (a, 0) where a is the value of x at that point.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

How do you find the x-intercept from a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the relationship between the slope and the y-intercept in a linear equation?

Back

The slope indicates how much y changes for a unit change in x, while the y-intercept indicates the starting value of y when x is zero.

Front

How can you determine if a point is a y-intercept?

Back

A point is a y-intercept if its x-coordinate is 0.

Front

What is the significance of the ordered pair (0, b)?

Back

The ordered pair (0, b) represents the y-intercept of a line on a graph.